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Finding the Fourth Proportional to 452.71, 679.07 and 209.21

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Solution

The fourth proportional to 452.71, 679.07 and 209.21 is: 313.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.71 : 679.07 = 209.21 : x
  2. Step 2: Convert to fraction form
    452.71/679.07 = 209.21/x
  3. Step 3: Cross multiply
    452.71x = 679.07 × 209.21
  4. Step 4: Simplify right side
    452.71x = 142,064.19
  5. Step 5: Solve for x
    x = 142,064.19/452.71
  6. Step 6: Final answer
    x = 313.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.